[UI] Ctrl+F search bar overlaps with window control buttons (min/max/close), making search UI elements unclickable

What version of the Codex App are you using (From “About Codex” dialog)?

OpenAI.Codex_26.313.5234.0_x64__2p2nqsd0c76g0

What subscription do you have?

Free

What platform is your computer?

Microsoft Windows NT 10.0.19044.0 x64

What issue are you seeing?

When pressing Ctrl + F to open the in-app search bar, the search UI overlaps with the native window control buttons (minimize, maximize, close) in the top-right corner. Specifically:
The "×" (close) button inside the search bar is partially or fully covered by the window's own close button, making it unclickable.
The "↑" and "↓" navigation buttons within the search bar are also obstructed, causing inconsistent or failed click responses in their rightmost areas.
my dpi is 125%

What steps can reproduce the bug?

1. Launch Codex App.
2. Press Ctrl + F to activate the search bar.
3. Observe the top-right area of the search bar:

• The internal "×" button overlaps with the system window close button.
• Attempt to click the "↑" or "↓" buttons near the right edge — clicks may be intercepted by the underlying window controls.

What is the expected behavior?

The search bar should render without overlapping the native window control buttons. All interactive elements within the search UI (including "↑", "↓", and "×") must be fully accessible and clickable. The search bar should either:

• Reserve sufficient right margin (e.g., ≥40px) to avoid the window control area, or
• Adjust its width/position dynamically to stay clear of system UI chrome.

Additional information

_No response_